What is the second derivative with respect to price of a put option? [on hold]












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What is the reasoning/meaning behind the second derivative of a put option










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put on hold as off-topic by Daneel Olivaw, LocalVolatility, Alex C, Helin, skoestlmeier 21 hours ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "Basic financial questions are off-topic as they are assumed to be common knowledge for those studying or working in the field of quantitative finance." – Daneel Olivaw, LocalVolatility, Alex C, Helin, skoestlmeier

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  • $begingroup$
    Derivative with respect to what, price?
    $endgroup$
    – Bob Jansen
    yesterday






  • 1




    $begingroup$
    yes, with respect to price
    $endgroup$
    – Anna Black
    yesterday
















0












$begingroup$


What is the reasoning/meaning behind the second derivative of a put option










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Anna Black is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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put on hold as off-topic by Daneel Olivaw, LocalVolatility, Alex C, Helin, skoestlmeier 21 hours ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "Basic financial questions are off-topic as they are assumed to be common knowledge for those studying or working in the field of quantitative finance." – Daneel Olivaw, LocalVolatility, Alex C, Helin, skoestlmeier

If this question can be reworded to fit the rules in the help center, please edit the question.
















  • $begingroup$
    Derivative with respect to what, price?
    $endgroup$
    – Bob Jansen
    yesterday






  • 1




    $begingroup$
    yes, with respect to price
    $endgroup$
    – Anna Black
    yesterday














0












0








0


1



$begingroup$


What is the reasoning/meaning behind the second derivative of a put option










share|improve this question









New contributor




Anna Black is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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What is the reasoning/meaning behind the second derivative of a put option







options option-pricing european-options






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share|improve this question









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Anna Black is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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share|improve this question




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edited yesterday







Anna Black













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asked yesterday









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New contributor




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Anna Black is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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put on hold as off-topic by Daneel Olivaw, LocalVolatility, Alex C, Helin, skoestlmeier 21 hours ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "Basic financial questions are off-topic as they are assumed to be common knowledge for those studying or working in the field of quantitative finance." – Daneel Olivaw, LocalVolatility, Alex C, Helin, skoestlmeier

If this question can be reworded to fit the rules in the help center, please edit the question.







put on hold as off-topic by Daneel Olivaw, LocalVolatility, Alex C, Helin, skoestlmeier 21 hours ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "Basic financial questions are off-topic as they are assumed to be common knowledge for those studying or working in the field of quantitative finance." – Daneel Olivaw, LocalVolatility, Alex C, Helin, skoestlmeier

If this question can be reworded to fit the rules in the help center, please edit the question.












  • $begingroup$
    Derivative with respect to what, price?
    $endgroup$
    – Bob Jansen
    yesterday






  • 1




    $begingroup$
    yes, with respect to price
    $endgroup$
    – Anna Black
    yesterday


















  • $begingroup$
    Derivative with respect to what, price?
    $endgroup$
    – Bob Jansen
    yesterday






  • 1




    $begingroup$
    yes, with respect to price
    $endgroup$
    – Anna Black
    yesterday
















$begingroup$
Derivative with respect to what, price?
$endgroup$
– Bob Jansen
yesterday




$begingroup$
Derivative with respect to what, price?
$endgroup$
– Bob Jansen
yesterday




1




1




$begingroup$
yes, with respect to price
$endgroup$
– Anna Black
yesterday




$begingroup$
yes, with respect to price
$endgroup$
– Anna Black
yesterday










2 Answers
2






active

oldest

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2












$begingroup$

It is the rate at which the price of the option changes with respect to the change of the delta (the rate of change with respect to the underlying). As by design, options are non-linear in order to provide protection (limit loss) as well as provide some exposure to the underlying, their value will change its sensitivity to changes in the underlying. Due to curvature, so will this sensitivity to changes in the underlying. The second derivative is a measure of this change in sensitivity. It is a measure of realized volatility and is commonly referred to as gamma, among the option “greeks.”



As for a put option, if you are long the put option you are short delta and long gamma. If you are short the put, you are long delta and short gamma.






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    1












    $begingroup$

    It's called Gamma one of the option Greeks.






    share|improve this answer











    $endgroup$




















      2 Answers
      2






      active

      oldest

      votes








      2 Answers
      2






      active

      oldest

      votes









      active

      oldest

      votes






      active

      oldest

      votes









      2












      $begingroup$

      It is the rate at which the price of the option changes with respect to the change of the delta (the rate of change with respect to the underlying). As by design, options are non-linear in order to provide protection (limit loss) as well as provide some exposure to the underlying, their value will change its sensitivity to changes in the underlying. Due to curvature, so will this sensitivity to changes in the underlying. The second derivative is a measure of this change in sensitivity. It is a measure of realized volatility and is commonly referred to as gamma, among the option “greeks.”



      As for a put option, if you are long the put option you are short delta and long gamma. If you are short the put, you are long delta and short gamma.






      share|improve this answer











      $endgroup$


















        2












        $begingroup$

        It is the rate at which the price of the option changes with respect to the change of the delta (the rate of change with respect to the underlying). As by design, options are non-linear in order to provide protection (limit loss) as well as provide some exposure to the underlying, their value will change its sensitivity to changes in the underlying. Due to curvature, so will this sensitivity to changes in the underlying. The second derivative is a measure of this change in sensitivity. It is a measure of realized volatility and is commonly referred to as gamma, among the option “greeks.”



        As for a put option, if you are long the put option you are short delta and long gamma. If you are short the put, you are long delta and short gamma.






        share|improve this answer











        $endgroup$
















          2












          2








          2





          $begingroup$

          It is the rate at which the price of the option changes with respect to the change of the delta (the rate of change with respect to the underlying). As by design, options are non-linear in order to provide protection (limit loss) as well as provide some exposure to the underlying, their value will change its sensitivity to changes in the underlying. Due to curvature, so will this sensitivity to changes in the underlying. The second derivative is a measure of this change in sensitivity. It is a measure of realized volatility and is commonly referred to as gamma, among the option “greeks.”



          As for a put option, if you are long the put option you are short delta and long gamma. If you are short the put, you are long delta and short gamma.






          share|improve this answer











          $endgroup$



          It is the rate at which the price of the option changes with respect to the change of the delta (the rate of change with respect to the underlying). As by design, options are non-linear in order to provide protection (limit loss) as well as provide some exposure to the underlying, their value will change its sensitivity to changes in the underlying. Due to curvature, so will this sensitivity to changes in the underlying. The second derivative is a measure of this change in sensitivity. It is a measure of realized volatility and is commonly referred to as gamma, among the option “greeks.”



          As for a put option, if you are long the put option you are short delta and long gamma. If you are short the put, you are long delta and short gamma.







          share|improve this answer














          share|improve this answer



          share|improve this answer








          edited 8 hours ago

























          answered yesterday









          AlRacoonAlRacoon

          1,58628




          1,58628























              1












              $begingroup$

              It's called Gamma one of the option Greeks.






              share|improve this answer











              $endgroup$


















                1












                $begingroup$

                It's called Gamma one of the option Greeks.






                share|improve this answer











                $endgroup$
















                  1












                  1








                  1





                  $begingroup$

                  It's called Gamma one of the option Greeks.






                  share|improve this answer











                  $endgroup$



                  It's called Gamma one of the option Greeks.







                  share|improve this answer














                  share|improve this answer



                  share|improve this answer








                  edited yesterday

























                  answered yesterday









                  Bob JansenBob Jansen

                  3,64152246




                  3,64152246















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